Question: Suppose X has density function x/2 for 0 < x < 2 and 0 otherwise. Find the density function of Y = X(2 X)

Suppose X has density function x/2 for 0 < x < 2 and 0 otherwise. Find the density function of Y = X(2 − X) by computing P (Y ≥ y) and then differentiating.

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